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Finding the Fourth Proportional to 2,631.98, 3,947.88 and 684.30

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Solution

The fourth proportional to 2,631.98, 3,947.88 and 684.30 is: 1,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.98 : 3,947.88 = 684.30 : x
  2. Step 2: Convert to fraction form
    2,631.98/3,947.88 = 684.30/x
  3. Step 3: Cross multiply
    2,631.98x = 3,947.88 × 684.30
  4. Step 4: Simplify right side
    2,631.98x = 2,701,534.28
  5. Step 5: Solve for x
    x = 2,701,534.28/2,631.98
  6. Step 6: Final answer
    x = 1,026.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.